Atank is being filled with gasoline at a rate of 4.5 gallons per minute. the gas tank contained 1.5 gallons of gasoline before the filling began. write an equation in standard form to model this linear situation.

4.5x - y = -1.5

Step-by-step explanation:

y - total

x - minutes

finding the slope intercept form is way easier

slope intercept form: y = 4.5x + 1.5

now, just put it into standard form:

Ax + By = C

4.5x - y = -1.5

remember that x in standard form can't be negative

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: